Updated Lagrangian unsaturated periporomechanics for extreme large deformation in unsaturated porous media

TL;DR

This paper introduces an updated Lagrangian framework for unsaturated periporomechanics that effectively models extreme large deformations in unsaturated soils, improving stability and accuracy during phenomena like soil column collapse.

Contribution

It formulates and implements a novel updated Lagrangian approach with bond-associated sub-horizon concept for better stability in large deformation modeling of unsaturated soils.

Findings

Demonstrates robustness in modeling soil column collapse

Enhances stability and accuracy at large deformations

Validates approach with numerical examples

Abstract

Unsaturated periporomechanics is a strong nonlocal poromechanics based on peridynamic state and effective force concept. In the previous periporomechnics the total Lagrangian formulation is adopted for the solid skeleton of porous media. In this article as a new contribution we formulate and implement an updated Lagrangian unsaturated periporomechanics framework for modeling extreme large deformation in unsaturated soils under drained condition, e.g., soil column collapse. In this new framework the so-called bond-associated sub-horizon concept is utilized to enhance the stability and accuracy at extreme large deformation of solid skeleton. The stabilized nonlocal velocity gradient in the deformed configuration is used to update the effective force state from a critical state based visco-plastic model for unsaturated soils. The updated Lagrangian periporomechanics is implemented numerically through an explicit Newmark scheme for high-performance computing. Numerical examples are presented to demonstrate the efficacy of the updated Lagrangian periporomechanics and its robustness in modeling unsaturated soil column collapse under drained condition.